JBL Inc. is considering a new product that would require an after$-$tax investment of $$1,400,000$ at t $=0.$ If the new product is well received, then the project would produce after$-$tax cash flows of $$650,000$ at the end of each of the next $3$ years $($t $=1,2,3),$ but if the market did not like the product, then the cash flows would be only $$100,000$ per year. There is a $70\%$ probability that the market will be good. JBL Inc. could delay the project for a year while it conducted a test to determine if demand would be strong or weak. The project$$s cost and expected annual cash flows are the same whether the project is delayed or not; however, the timing of the cash flows would change. $($There would be the same number of cash flows$$only the cash flows would be extended out one extra year.$)$ The project's WACC is $10\%.$ What is the value of the project after considering the investment timing option?

a$.$ $$108,226\mathrm{.}89$

b$.$ $$137,743\mathrm{.}32$

c$.$ $$167,259\mathrm{.}75$

d$.$ $$196,776\mathrm{.}18$

e$.$ $$216,453\mathrm{.}79$